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SOLUTION: 3x-y=6 graph each line
-> SOLUTION: 3x-y=6 graph each line
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3x-y=6 graph each line
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Start with the given equation.
from both sides.
Rearrange the terms.
Divide both sides by
to isolate y.
Break up the fraction.
we can see that the equation is in slope-intercept form
where the slope is
and the y-intercept is
this tells us that the y-intercept is
.Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is
, this means:
which shows us that the rise is 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1
So starting at
, go up 3 units
and to the right 1 unit to get to the next point
Now draw a line through these points to graph
So this is the graph of
through the points